Math POW Solution Open the above link to see the solution to Math POW #2 Did you come up with the same answer? Did you use a different approach or the same approach to the problem?
I did come up with the same answer, yet I did not use the same approach.
What I did was for 1, I subtracted Patrick's total pages from how many he has read already. that made 25.
For Nicolas, I did the same thing, which left me with 40.
Therefore the answer to number one is Nicolas has more pages to read than Patrick.
Because Patrick has 25 pages to finish his book, and he wants to finish his book in 5 days, he needs to read 5 pages per day.
Nicolas wants to finish his book on the same day Patrick does, I did 40 (how many pages he still needs) divided by 5 (how many days he has to finish his book) which equals 8 (how many pages he needs to read in a day in order to finish his book on the same day Patrick does.)
My strategy was similar to the solution’s, but I also used unknowns. For those of you who don’t know what unknowns are, here’s a brief explanation. Unknowns are letters in math (mainly algebra) that represent numbers. E.g x, y, z...etc. A good way to practice working with unknowns is play Jabara on Mangahigh. Anyways, the way I solved the problem with unknowns looked like this: A.) X = Number of pages Patrick has read. Y = Number or pages Nicholas has read. Z = number of pages in Patrick’s book. A = number of page in Nicholas's book. ¾ of 100 = X ¾ of 100 = 75 X = 75 ⅔ of 120 = Y ⅔ of 120 = 80 A = 120 Z = 100 Y(80) - X(75) = 5 A(120) - Z(100) = 20 20+5=25 Nicholas has 25 more pages left to read than Patrick
1. Yes, I got the correct answers. 2. For Question one I used fractions so that is the same. But for question number two, I used a method a little different. First to figure out how many days until Patrick finishes I made a chart. It had the day, the pages read, and the pages left to read on the chart. For each day the chart minused 5 pages from 25 (because that’s how many pages Patrick had left to read) and I got the answer that it would take 5 days for Patrick to finish his book. That what was different about my answer and the next part is the same. Then to figure out how many pages Nicholas needed to read I divided 40 by 5 ( 40 because that’s how many pages Nicholas had left to read and 5 because that’s how many days it took Patrick to finish his book) and I got 8 as my answer. So that means Nicholas needs to read 8 pages everyday to finish on the same day Patrick finishes. That is my response to the math POW
My answer for number one was partially right because I have the 100÷4=25 and 120÷3=40 part right, but for some reason I did multiplication after that. I multiplied 25✕3=75 and 40✕2=80 then subtracted 80-75=5 and that was my answer. I shouldn’t have multiplied the two quotients together and subtracted the products. If I didn’t do that, I would’ve got the answer right. For number 2, I got it wrong because I divided 5 full pages by 100, not 25 like I should’ve because 25 was one of the answers to number one. Same thing with the 120 pages, but this time I divided 6 full pages by 120, not 40 because that was the other answer to number one. The correct answer was 25÷5=5 days and 40÷8=5 days. I used a similar strategy, but the answer was incorrect.
2. I used a similar strategy to number 1. I did not use fractions in my answer. I did 100 divided by four which is 25 because Patrick has 1 quarter left to read of his 100 page book. Then I did 120 divided by 3 which is 40 because Nicholas has 1 third left to read of his 120 page book. Therefore, Nicholas has more pages to read than Patrick. For question number two I used the same strategy as the one shown. I did 25 divided by 5 (as the question provides) which is 5. Then I did 40 divided by 5 which is 8 meaning that Nicholas has to read 8 pages per day to finish the same day Patrick finishes.
1. Did you come up with the same answer? Yes, I got the same answer as the one given.
2. a). Did you use a different approach or the same approach to the problem. I used a similar approach. I saw ¾ and said what multiplies with ¾ to make the denominator 100. I wanted the denominator to be 100 because patrick has 100 pages in his book. I realized that 25x4=100, I showed this visually by doing 34 x 2525 = 75100 Patrick has read 75 pages, and needs to read 25 more to finish, becuase 100-75=25.
For Nicholas I did the same thing. I want the denominator to be 120 because he has a 120 paged book. The question said he read 23of his book. 23x4040=80120 Nicholas has read 80 pages, and needs to read 40 more because 120-80=40.
b). For this I did the exact same thing. Since Patrick has 25 more pages left and he reads 5 pages a day I did 25/5 which equals 5. So Patrick will finish his book in 5 days.
Nicholas has to read his book in 5 days because Patrick will finish his book in 5 days. For nicholas I did 40/5 since nicholas has 40 pages left to read. 40/5=8. So Nicholas has to read 8 pages a day to finish in 8 days.
1. Did you come up with the same answer? Yes I did
2.Did you use a different approach or the same approach to the problem? I did for number 2, and for number 1 its a little different. I didn't show the math for the number 1.
2. I used a strategy similar to the one the Math P.O.W used. The way I figured it out was this: to figure out how many pages Patrick read I did 100 ÷ 4 = 25 which is ¼ of 100. Then I did 3 ✕ 25 = 75 which is ¾ of 100. That was how I figured out how many pages Patrick read. Then, to figure out how many more pages Nicholas read I did 120 ÷ 3 = 40 which is ⅓ of 120. Then i did 40 ✕ 2 = 80 which is ⅔ of 120.
1. Yes I got the same answer. 2. Yes I used the same strategy for A. What I did for A was figure out that ¾ of 100 is 75 and ⅔ of 120 is 80. So then I knew that ¼ of 100 was 25 and ⅓ of 120 was 40 and that told me that Nicholas had more left to read than Patrick. For B I got the same answer and I used the same strategy. I knew that Patrick would have to read 5 pages per day because he had 25 pages left and 25 divided by 5 is 5. Nicholas has 40 pages left. So I figured out that 40 divided by something equals 5. I tried 1 times 5, 2 times 5 all the way up to 8 times 5. The reason why I stopped at 8 times 5 was because that gave me the answer of 40. So I realized that 40 divided by 8 (the missing number) equals 5. So i realized that Nicholas had to read 8 pages per day to finish his book on the same day as Patrick.
Math POW #2 In my Math POW I got the same answers. My approach was almost the same as the one shown. In question one I used fractions to find out how many pages of their book the boys had read, for Nicholas I got 80/120 and for Patrick I got 75/100. Then I subtracted each denominator by the numerator to get 40 for Nicholas and 25 for Patrick, so Nicholas has more pages left to read than Patrick. For question two I did the same as the solution. I divided 25 by 5, then I divided 40 by 5 which gave me 8. So the answer for question two is that Nicholas has to read 8 pages in 5 day to finish his book on the same day as Patrick.
I used a strategy similar to this one. I used division and subtraction instead of fractions. I ended up with the same answer. I didn’t even think of fractions. The solution used division, but it used fractions instead of subtracting. I also put it in a different format. The solution put “Solution” before the solution, and the letters. I just put equations down in order, and then wrote written answers.
I did come up with the same answer,
ReplyDeleteyet I did not use the same approach.
What I did was for 1, I subtracted Patrick's total pages from how many he has read already. that made 25.
For Nicolas, I did the same thing, which left me with 40.
Therefore the answer to number one is Nicolas has more pages to read than Patrick.
Because Patrick has 25 pages to finish his book, and he wants to finish his book in 5 days, he needs to read 5 pages per day.
Nicolas wants to finish his book on the same day Patrick does, I did 40 (how many pages he still needs) divided by 5 (how many days he has to finish his book) which equals 8 (how many pages he needs to read in a day in order to finish his book on the same day Patrick does.)
Yes, I got the same answer as the one given.
ReplyDeleteMy strategy was similar to the solution’s, but I also used unknowns. For those of you who don’t know what unknowns are, here’s a brief explanation. Unknowns are letters in math (mainly algebra) that represent numbers. E.g x, y, z...etc. A good way to practice working with unknowns is play Jabara on Mangahigh. Anyways, the way I solved the problem with unknowns looked like this:
A.)
X = Number of pages Patrick has read.
Y = Number or pages Nicholas has read.
Z = number of pages in Patrick’s book.
A = number of page in Nicholas's book.
¾ of 100 = X
¾ of 100 = 75
X = 75
⅔ of 120 = Y
⅔ of 120 = 80
A = 120
Z = 100
Y(80) - X(75) = 5
A(120) - Z(100) = 20
20+5=25
Nicholas has 25 more pages left to read than Patrick
1. Yes, I got the correct answers.
ReplyDelete2. For Question one I used fractions so that is the same. But for question number two, I used a method a little different. First to figure out how many days until Patrick finishes I made a chart. It had the day, the pages read, and the pages left to read on the chart. For each day the chart minused 5 pages from 25 (because that’s how many pages Patrick had left to read) and I got the answer that it would take 5 days for Patrick to finish his book. That what was different about my answer and the next part is the same. Then to figure out how many pages Nicholas needed to read I divided 40 by 5 ( 40 because that’s how many pages Nicholas had left to read and 5 because that’s how many days it took Patrick to finish his book) and I got 8 as my answer. So that means Nicholas needs to read 8 pages everyday to finish on the same day Patrick finishes. That is my response to the math POW
-M.T
My answer for number one was partially right because I have the 100÷4=25 and 120÷3=40 part right, but for some reason I did multiplication after that. I multiplied 25✕3=75 and 40✕2=80 then subtracted 80-75=5 and that was my answer. I shouldn’t have multiplied the two quotients together and subtracted the products. If I didn’t do that, I would’ve got the answer right.
ReplyDeleteFor number 2, I got it wrong because I divided 5 full pages by 100, not 25 like I should’ve because 25 was one of the answers to number one. Same thing with the 120 pages, but this time I divided 6 full pages by 120, not 40 because that was the other answer to number one. The correct answer was 25÷5=5 days and 40÷8=5 days. I used a similar strategy, but the answer was incorrect.
Anthony
1. I have the same answers as the ones shown.
ReplyDelete2. I used a similar strategy to number 1. I did not use fractions in my answer. I did 100 divided by four which is 25 because Patrick has 1 quarter left to read of his 100 page book. Then I did 120 divided by 3 which is 40 because Nicholas has 1 third left to read of his 120 page book. Therefore, Nicholas has more pages to read than Patrick. For question number two I used the same strategy as the one shown. I did 25 divided by 5 (as the question provides) which is 5. Then I did 40 divided by 5 which is 8 meaning that Nicholas has to read 8 pages per day to finish the same day Patrick finishes.
I got the correct answers for both one and two.
ReplyDeleteI also used the same strategy as shown in the answer except I didn’t use words, only math.
And that's it there is really nothing more to say.
ReplyDelete1. Did you come up with the same answer?
Yes, I got the same answer as the one given.
2. a). Did you use a different approach or the same approach to the problem.
I used a similar approach. I saw ¾ and said what multiplies with ¾ to make the denominator 100. I wanted the denominator to be 100 because patrick has 100 pages in his book. I realized that 25x4=100, I showed this visually by doing 34 x 2525 = 75100
Patrick has read 75 pages, and needs to read 25 more to finish, becuase 100-75=25.
For Nicholas I did the same thing.
I want the denominator to be 120 because he has a 120 paged book. The question said he read 23of his book. 23x4040=80120
Nicholas has read 80 pages, and needs to read 40 more because 120-80=40.
b). For this I did the exact same thing.
Since Patrick has 25 more pages left and he reads 5 pages a day I did 25/5 which equals 5. So Patrick will finish his book in 5 days.
Nicholas has to read his book in 5 days because Patrick will finish his book in 5 days. For nicholas I did 40/5 since nicholas has 40 pages left to read. 40/5=8. So Nicholas has to read 8 pages a day to finish in 8 days.
1. Did you come up with the same answer?
ReplyDeleteYes I did
2.Did you use a different approach or the same approach to the problem?
I did for number 2, and for number 1 its a little different. I didn't show the math for the number 1.
1. Yes, I got the same answer.
ReplyDelete2. I used a strategy similar to the one the Math P.O.W used.
The way I figured it out was this: to figure out how many pages Patrick read I did 100 ÷ 4 = 25 which is ¼ of 100. Then I did 3 ✕ 25 = 75 which is ¾ of 100. That was how I figured out how many pages Patrick read. Then, to figure out how many more pages Nicholas read I did 120 ÷ 3 = 40 which is ⅓ of 120. Then i did 40 ✕ 2 = 80 which is ⅔ of 120.
b) 1. Yes i got the same answer.
2. I used the same strategy.
1. Yes I got the same answer.
ReplyDelete2. Yes I used the same strategy for A. What I did for A was figure out that ¾ of 100 is 75 and ⅔ of 120 is 80. So then I knew that ¼ of 100 was 25 and ⅓ of 120 was 40 and that told me that Nicholas had more left to read than Patrick.
For B I got the same answer and I used the same strategy. I knew that Patrick would have to read 5 pages per day because he had 25 pages left and 25 divided by 5 is 5. Nicholas has 40 pages left. So I figured out that 40 divided by something equals 5. I tried 1 times 5, 2 times 5 all the way up to 8 times 5. The reason why I stopped at 8 times 5 was because that gave me the answer of 40. So I realized that 40 divided by 8 (the missing number) equals 5. So i realized that Nicholas had to read 8 pages per day to finish his book on the same day as Patrick.
Math POW #2
ReplyDeleteIn my Math POW I got the same answers.
My approach was almost the same as the one shown.
In question one I used fractions to find out how many pages of their book the boys had read, for Nicholas I got 80/120 and for Patrick I got 75/100. Then I subtracted each denominator by the numerator to get 40 for Nicholas and 25 for Patrick, so Nicholas has more pages left to read than Patrick. For question two I did the same as the solution. I divided 25 by 5, then I divided 40 by 5 which gave me 8. So the answer for question two is that Nicholas has to read 8 pages in 5 day to finish his book on the same day as Patrick.
-G.R
I used a strategy similar to this one. I used division and subtraction instead of fractions. I ended up with the same answer. I didn’t even think of fractions. The solution used division, but it used fractions instead of subtracting. I also put it in a different format. The solution put “Solution” before the solution, and the letters. I just put equations down in order, and then wrote written answers.
ReplyDelete